# Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model

## TL;DR

This paper introduces a novel magnetic field independent regularization scheme based on the Hurwitz-Riemann zeta function, applied to the NJL model to analyze neutral meson properties in hot, magnetized quark matter.

## Contribution

A new regularization method (zMFIR) for NJL models that is independent of magnetic field strength and demonstrates advantages over traditional schemes.

## Key findings

- The new scheme is equivalent to standard MFIR.
- Neutral meson pole mass is calculated in hot, magnetized medium.
- Advantages of the new regularization scheme are demonstrated.

## Abstract

A magnetic field independent regularization scheme (zMFIR) based on the Hurwitz-Riemann zeta function is introduced. The new technique is applied to the regularization of the mean-field thermodynamic potential and mass gap equation within the SU(2) Nambu-Jona-Lasinio model in a hot and magnetized medium. The equivalence of the new and the standard MFIR scheme is demonstrated. The neutral meson pole mass is calculated in a hot and magnetized medium and the advantages of using the new regularization scheme are shown.